QPOs expected in rotating accretion flows around a supermassive black hole

It is well known that rotating inviscid accretion flows with adequate injection parameters around black holes could form shock waves close to the black holes, after the flow passes through the outer sonic point and can be virtually stopped by the centrifugal force. We numerically examine such shock waves in 2D accretion flows with 10⁻⁵ to 10⁶ Eddington critical accretion rates around a supermassive black hole with 10⁶M⊙. As the results, the luminosities show QPO phenomena with modulations of a factor 2-3 and with quasi-periods of a few to several hours.